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Finding the Fourth Proportional to 103,453, 142,765.16 and 58,741

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Solution

The fourth proportional to 103,453, 142,765.16 and 58,741 is: 81,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,453 : 142,765.16 = 58,741 : x
  2. Step 2: Convert to fraction form
    103,453/142,765.16 = 58,741/x
  3. Step 3: Cross multiply
    103,453x = 142,765.16 × 58,741
  4. Step 4: Simplify right side
    103,453x = 8,386,168,263.56
  5. Step 5: Solve for x
    x = 8,386,168,263.56/103,453
  6. Step 6: Final answer
    x = 81,062.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.